96 is what percent of 11898 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 11898 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 11898, so we can write it down as 100%=11898.
4. We know, that x% equals 96 of the output value, so we can write it down as x%=96.
5. Now we have two simple equations:
1) 100%=11898
2) x%=96
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=11898/96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96 is what percent of 11898

100%/x%=11898/96
(100/x)*x=(11898/96)*x       - we multiply both sides of the equation by x
100=123.9375*x       - we divide both sides of the equation by (123.9375) to get x
100/123.9375=x
0.80685829551185=x
x=0.80685829551185

now we have:
96 is 0.80685829551185% of 11898